What is the Greatest Common Factor of 66703 and 66717?

Greatest common factor (GCF) of 66703 and 66717 is 7.

GCF(66703,66717) = 7

We will now calculate the prime factors of 66703 and 66717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66703 and 66717.

How to find the GCF of 66703 and 66717?

We will first find the prime factorization of 66703 and 66717. After we will calculate the factors of 66703 and 66717 and find the biggest common factor number .

Step-1: Prime Factorization of 66703

Prime factors of 66703 are 7, 13, 733. Prime factorization of 66703 in exponential form is:

66703 = 7¹ × 13¹ × 733¹

Step-2: Prime Factorization of 66717

Prime factors of 66717 are 3, 7, 353. Prime factorization of 66717 in exponential form is:

66717 = 3³ × 7¹ × 353¹

Step-3: Factors of 66703

List of positive integer factors of 66703 that divides 66703 without a remainder.

1, 7, 13, 91, 733, 5131, 9529

Step-4: Factors of 66717

List of positive integer factors of 66717 that divides 66703 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 353, 1059, 2471, 3177, 7413, 9531, 22239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66703 and 66717. The biggest common factor number is the GCF number.
So the greatest common factor 66703 and 66717 is 7.

Also check out the Least Common Multiple of 66703 and 66717